Skip to main content

Considerations on Rule Induction Procedures by STRIM and Their Relationship to VPRS

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8537))

Abstract

STRIM (Statistical Test Rule Induction Method) has been proposed as a method to effectively induct if-then rules from the decision table. The method was studied independently of the conventional rough sets methods. This paper summarizes the basic notion of STRIM and the conventional rule induction methods, considers the relationship between STRIM and their conventional methods, especially VPRS (Variable Precision Rough Set), and shows that STRIM develops the notion of VPRS into a statistical principle. In a simulation experiment, we also consider the condition that STRIM inducts the true rules specified in advance. This condition has not yet been studied, even in VPRS. Examination of the condition is very important if STRIM is properly applied to a set of real-world data set.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Pawlak, Z.: Rough sets. Internat. J. Inform. Comput. Sci. 11(5), 341–356 (1982)

    Article  MathSciNet  Google Scholar 

  2. Skowron, A., Rauszer, C.M.: The Discernibility Matrix and Functions in Information Systems. In: Slowinski, R. (ed.) Intelligent Decision Support, Handbook of Application and Advances of Rough Set Theory, pp. 331–362. Kluwer Academic Publishers (1992)

    Google Scholar 

  3. Bao, Y.G., Du, X.Y., Deng, M.G., Ishii, N.: An Efficient Method for Computing All Reducts. Transaction of the Japanese Society for Artificial Intelligence 19(3), 166–173 (2004)

    Article  Google Scholar 

  4. Grzymala-Busse, J.W.: LERS- A system for learning from examples based on rough sets. In: Słowński, R. (ed.) Intelligent Decision Support. Handbook of Applications and Advances of the Rough Sets Theory, pp. 3–18. Kluwer Academic Publishers (1992)

    Google Scholar 

  5. Ziarko, W.: Variable precision rough set model. Journal of Computer and System Science 46, 39–59 (1993)

    Article  MathSciNet  Google Scholar 

  6. Shan, N., Ziarko, W.: Data-based acquisition and incremental modification of classification rules. Computational Intelligence 11(2), 357–370 (1995)

    Article  Google Scholar 

  7. Nishimura, T., Kato, Y., Saeki, T.: Studies on an Effective Algorithm to Reduce the Decision Matrix. In: Kuznetsov, S.O., Ślęzak, D., Hepting, D.H., Mirkin, B.G. (eds.) RSFDGrC 2011. LNCS (LNAI), vol. 6743, pp. 240–243. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  8. Matsubayashi, T., Kato, Y., Saeki, T.: A new rule induction method from a decision table using a statistical test. In: Li, T., Nguyen, H.S., Wang, G., Grzymala-Busse, J., Janicki, R., Hassanien, A.E., Yu, H. (eds.) RSKT 2012. LNCS (LNAI), vol. 7414, pp. 81–90. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  9. Kato, Y., Saeki, T., Mizuno, S.: Studies on the Necessary Data Size for Rule Induction by STRIM. In: Lingras, P., Wolski, M., Cornelis, C., Mitra, S., Wasilewski, P. (eds.) RSKT 2013. LNCS (LNAI), vol. 8171, pp. 213–220. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  10. Jaworski, W.: Rule Induction: Combining Rough Set and Statistical Approaches. In: Chan, C.-C., Grzymala-Busse, J.W., Ziarko, W.P. (eds.) RSCTC 2008. LNCS (LNAI), vol. 5306, pp. 170–180. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  11. Walpole, R.E., Myers, R.H., Myers, S.L., Ye, K.: Probability & Statistics for Engineers & Scientists, 8th edn., pp. 187–194. Pearson Prentice Hall (2007)

    Google Scholar 

  12. Xiw, G., Zhang, J., Lai, K.K., Yu, L.: Variable precision rough set group decision-making, An application. International Journal of Approximate Reasoning 49, 331–343 (2008)

    Article  Google Scholar 

  13. Inuiguchi, M., Yoshioka, Y., Kusunoki, Y.: Variable-precision dominance-based rough set approach and attribute reduction. International Journal of Approximate Reasoning 50, 1199–1214 (2009)

    Article  MathSciNet  Google Scholar 

  14. Huang, K.Y., Chang, T.-H., Chang, T.-C.: Determination of the threshold β of variable precision rough set by fuzzy algorithms. International Journal of Approximate Reasoning 52, 1056–1072 (2011)

    Article  MathSciNet  Google Scholar 

  15. Greco, S., Matarazzo, B., Słowiński, R., Stefanowski, J.: Variable Consistency Model of Dominance-Based Rough Sets Approach. In: Ziarko, W., Yao, Y. (eds.) RSCTC 2000. LNCS (LNAI), vol. 2005, pp. 170–181. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  16. Janssen, F., Fürnkranz, J.: On the quest for optimal rule learning heuristics. Machine Learning 78, 343–379 (2010)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Kato, Y., Saeki, T., Mizuno, S. (2014). Considerations on Rule Induction Procedures by STRIM and Their Relationship to VPRS. In: Kryszkiewicz, M., Cornelis, C., Ciucci, D., Medina-Moreno, J., Motoda, H., Raś, Z.W. (eds) Rough Sets and Intelligent Systems Paradigms. Lecture Notes in Computer Science(), vol 8537. Springer, Cham. https://doi.org/10.1007/978-3-319-08729-0_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-08729-0_19

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08728-3

  • Online ISBN: 978-3-319-08729-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics